#include "cave.h"
#include <bits/stdc++.h>
using namespace std;
bool vis[5005];
vector<int> switches;
int corr;
void exploreCave(int N) {
int S[N],D[N];
for(int i=0;i<N;++i) {
switches.clear();
for(int j=0;j<N;++j) if (!vis[j]) switches.push_back(j);
for(int j=0;j<N-i;++j) S[switches[j]] = 0;
if (tryCombination(S) == i) corr = 1;
else corr = 0;
for(int j=0;j<N-i;++j) S[switches[j]] = corr^1;
int l = 0;
int r = N-i-1;
while (l < r) {
int mid = (l+r)/2;
for (int j=l; j <= mid; ++j) S[switches[j]] = corr;
int f = tryCombination(S);
for (int j=l; j <= mid; ++j) S[switches[j]] = corr^1;
if (f == i) l = mid+1;
else r = mid;
}
vis[switches[l]] = true;
S[switches[l]] = corr;
D[switches[l]] = i;
}
answer(S,D);
}
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